中国物理B ›› 1996, Vol. 5 ›› Issue (11): 801-808.doi: 10.1088/1004-423X/5/11/001

• •    下一篇

THE FRACTAL BEHAVIOUR OF CRACK PROPAGATION IN BRITTLE MATERIALS

赵如宝1, 邢修三1, 丁洪志2   

  1. (1)Deportment of Applied Physics, Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, China; (2)Deportment of Applied Physics, Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, China;Beijing Graduate School of North China Institute of Water Resources and Hydropower, Beijing 100044, China
  • 收稿日期:1996-03-11 出版日期:1996-11-20 发布日期:1996-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

THE FRACTAL BEHAVIOUR OF CRACK PROPAGATION IN BRITTLE MATERIALS

DING HONG-ZHI (丁洪志)ab, ZHAO RU-BAO (赵如宝)a, XING XIU-SAN (邢修三)a   

  1. a Deportment of Applied Physics, Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, China; b Beijing Graduate School of North China Institute of Water Resources and Hydropower, Beijing 100044, China
  • Received:1996-03-11 Online:1996-11-20 Published:1996-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： In this paper we try to show how a reasonable equation for crack propagation in brittle materials naturally leads to self-affine or statistically self-similar failure structures. We argue that the fractal behaviours of crack propagation in brittle mate-rials are in essence determined by the scale-invariance of the Fokker-Planck equation. This approach provides a good illustration for understanding the microscopic origin of fractal behaviour in real materials.

Abstract: In this paper we try to show how a reasonable equation for crack propagation in brittle materials naturally leads to self-affine or statistically self-similar failure structures. We argue that the fractal behaviours of crack propagation in brittle mate-rials are in essence determined by the scale-invariance of the Fokker-Planck equation. This approach provides a good illustration for understanding the microscopic origin of fractal behaviour in real materials.

中图分类号:  (Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)

  • 81.40.Np
62.20.M- (Structural failure of materials)